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In continuum mechanics, the Froude number (Fr, after William Froude, / ˈfruːd / [1]) is a dimensionless number defined as the ratio of the flow inertia to the external force field (the latter in many applications simply due to gravity).
The Froude Number is a dimensionless parameter measuring the ratio of "the inertia force on a element of fluid to the weight of the fluid element" - the inertial force divided by gravitational force. The Froude Number can be expressed as. g = acceleration of gravity (9.81 m/s2)
The Froude number represents the ratio of inertial to gravitational acceleration, indicating that a rigid inverted pendulum would escape its circular trajectory at a Froude number or dimensionless speed greater than one.
The Froude number enters into formulations of the hydraulic jump (rise in water surface elevation) that occurs under certain conditions, and, together with the Reynolds number, it serves to delineate the boundary between laminar and turbulent flow conditions in open channels.
Froude number calculator helps you characterize the fluid flow in an open channel by estimating the Froude number for the given flow rate.
In naval architecture, the Froude number is the significant figure that is used in the determination of the resistance of the partially submerged object that is moving through the water. In the open channel flows, the ratio of the flow velocity to the square root of the product of acceleration due to gravity to the depth of the flow.
The Froude Number (Fr) is a dimensionless parameter crucial in fluid dynamics and hydrodynamics, playing a pivotal role in understanding and predicting the behavior of fluids in various contexts. Named after the English engineer and hydrodynamicist William Froude, this number helps in comparing inertial and gravitational forces in flow systems.
The Froude number, an important parameter for the study of liquids moving in a free surface (e.g., surface wave motion), is defined as Fr = v2 / gL or Fr = ρv2L2/ρgL3. Because ρL3 = m (mass), one can also have Fr = ρv2L2 / mg.
One important concept in fluid dynamics is the Froude number, which helps us understand the relationship between the velocity of a fluid and the forces acting upon it. In this article, we will delve into the Froude number formula, its underlying functionality, and provide practical examples to enhance your understanding.
The Froude number is a dimensionless quantity used in fluid mechanics to compare the inertial forces to the gravitational forces acting on a fluid flow. It is defined as the ratio of the flow velocity to the square root of the product of gravitational acceleration and a characteristic length.